Open AccessOn the fully 3D simulations of thermoelastic models defined in plate and shell geometries
Author(s) -
Brice Bognet,
Adrien Leygue,
Francisco Chinesta
Publication year - 2012
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/17797179.2012.702429
Subject(s) - shell (structure) , thermoelastic damping , context (archaeology) , discretization , representation (politics) , reduction (mathematics) , curse of dimensionality , dimensionality reduction , decomposition , computer science , mathematics , algorithm , geometry , physics , mathematical analysis , mechanical engineering , engineering , artificial intelligence , thermal , chemistry , paleontology , organic chemistry , politics , meteorology , political science , law , biology
Many models in polymer processing and composites manufacturing are defined in degenerated three-dimensional domains (3D), involving plate or shell geometries. The reduction of models from 3D to two-dimensional (2D) is not obvious when complex physics or particular geometries are involved. The hypotheses to be introduced for reaching this dimensionality reduction are unclear, and most of the possible proposals will have a narrow interval of validity. The only gateway is to explore new discretisation strategies able to circumvent or at least alleviate the drawbacks related to mesh-based discretisations of fully 3D models defined in plate or shell domains. Appropriate separated representation of the involved fields within the context of the proper generalised decomposition allows solving the fully 3D model by keeping a 2D characteristic computational complexity.